Dualities between Mohand Transform and Some Useful Integral Transforms
Sudhanshu Aggarwal1, Anjana Rani Gupta2
1Sudhanshu Aggarwal, Assistant Professor, Department of Mathematics, National P.G. College, Barhalganj,Gorakhpur-273402,U.P.,India.
2Anjana Rani Gupta, Professor, Department of Mathematics, Noida Institute of Engineering & Technology, Greater Noida-201306, U.P., India.
Manuscript received on 11 August 2019. | Revised Manuscript received on 17 August 2019. | Manuscript published on 30 September 2019. | PP: 843-847 | Volume-8 Issue-3 September 2019 | Retrieval Number: C4031098319/19©BEIESP | DOI: 10.35940/ijrte.C4031.098319
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: Integral transforms have wide applications in the different areas of engineering and science to solve the problems of springs, Newton’s law of cooling, electrical networks, bending of beams, mixing problems, signal processing, carbon dating problems, Newton’s second law of motion, exponential growth and decay problems. In this paper, we will discuss the dualities of some useful integral transforms namely Laplace transform, Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub (Laplace- Carson) transform and Sawi transform with Mohand transform. To visualize the importance of dualities between Mohand transform and mention integral transforms, we give tabular presentation of the integral transforms (Laplace transform, Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub transform and Sawi transform) of mostly used basic functions by using mention dualities relations.
Keywords: Mohand; Laplace; Kamal; Elzaki; Aboodh; Sumudu; Mahgoub (Laplace- Carson); Sawi Transforms. AMS Subject Classification 2010: 44A05, 44A10, 44A15.
Scope of the Article: Classification